what is the product of 13/7 x 49/2 x 4/39?

2008-06-19 7:22 pm
a. 1-4/7

b. 2-2/7

c. 3-1/2

d. 4-2/3

please please help me!!!! and can you show me how you got the answer

回答 (9)

2008-06-19 7:30 pm
✔ 最佳答案
The product of any two fractions are the product of their numerators over the product of the denominators. Here is no different, other than you have three items to multiply together.

(13/7) * (49/2) * (4/39)

You can either multiply them all first, then simplify, or cancel out like factors now when they're still in pieces, then multiply it. I tend to try to cancel factors first .. so I'll start by cancelling out a 7 from the first two:

13 * (7/2) * (4/39)

Now a 2 from the last two:

13 * 7 * (2/39)

And finally, a 13 from the first and last:

1 * 7 * (2/3)

The answer becomoes 14/3, or 4 and 2/3.

If you multiply it all first: 2548/546, you get the same answer after simplification, but that step is more difficult at this point since you'll have to break it up to figure out the LCM.
2016-10-23 9:12 pm
13 x 40 9 x 4 / 7 x 2 x 39 ='s 2548 / 546 ='s 4.6666666666666666667 The numbers to the right of the above decimal donot must be finished so a techniques as I did. It comes out to 2/3's it really is a repeating decimal. So your answer is 4 2/3's or "d".
2008-06-21 10:44 pm
13 x 49 x 4
----------------
7 x 2 x 39

1 x 7 x 2
-----------
1 x 1 x 3

14
---
3

4 ⅔ -------OPTION D
2008-06-19 7:33 pm
(13/7)(49/2)(4/39)
= (13 x 49 x 4)/(7 x 2 x 39)
= (637 x 4)/(14 x 39)
= 2548/546
= (2548 ÷ 182)/(546 ÷ 182)
= 14/3
= 4 2/3
(answer d)
2008-06-19 7:31 pm
13/7 x 49/2 x 4/39

Multiply denominators and numerators in the first 2 terms:
(13 * 49)/(7 * 2) * 4/39
637/14 * 4/39

Simplify
91/2 * 4/39

Multiply again:
(91 * 4)/(2*39)
364/78

Simplify:
182/39 or 4 and two thirds

D
2008-06-19 7:31 pm
according my brain its calculated as
4.66666667
2008-06-19 7:30 pm
This is the same as (13 49 4) / (7 2 39)

(1 49 4)/(7 2 3)
(1 7 4)/(1 2 3)
(1 7 2)/(1 1 3)
14/3
4 2/3

The answer is D
2008-06-19 7:30 pm
just write it in one big division thingy:
so you get : (13*49*4)/(7*2*39)
since both bottom and top are divisible by seven you get
(13*7*4)/(2*39)
both are divisible by 2
so (13*7*2)/39
39 is 3*13
so both divisible by 13
(7*2)/3
so you get 14/3
14=12+2
so 12/3+2/3 hence 4+2/3
and this is not one of your answers, great :-(
but hopefully the method is useful
2008-06-19 7:29 pm
13/7 x 49/2 x 4/39=1/1*7/1*2/3=14/3= 4 2/3

d. 4-2/3


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